5 Answers
5

It usually implies that something is little in one way but big in another; for example, a game may want to imply that it is "little" in being approachable and friendly, but "big" in having lots of things to do.

My take on the titles you mention is that "little" refers to physical size, and "big" refers to aspiration or scope. So "little big magazine" would be a small sized magazine aspiring to cover a great deal of subject matter.

Probably best known is the Battle of Little Big Horn of 1876 (other spacing and names are also used). It is named for the nearby Little Big Horn River, a tributary of the Big Horn River, in turn a tributary of the Yellowstone River, and then the Missouri River and Mississippi River.

The apparent oxymoron makes it easy to remember, but in fact little does not apply to big but to Big Horn River; similarly big does not apply to Horn River, but river applies to big horn. I would not be surprised is your examples copied this.